Asymptotic String Compactifications

Heisteeg, Damian van de

doi:10.33540/1380

Cited by 9 publications

(26 citation statements)

References 141 publications

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“…• We expect that further results about the structure of infinite distance regimes in moduli space can be derived for further exploration of large and small black holes, in particular considerations about their entropy and its microscopic explanation, possibly along the lines of [43].…”

Section: Recovering the Cy Vector Moduli Space Asymptoticsmentioning

confidence: 96%

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Small Black Hole Explosions

Angius¹,

Huertas²,

Uranga³

2023

Preprint

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Small black holes are a powerful tool to explore infinite distances in moduli spaces.However, we show that in 4d theories with a scalar potential growing fast enough at infinity, it is energetically too costly for scalars to diverge at the core, and the small black hole puffs up into a regular black hole, or follows a runaway behaviour.We derive a critical exponent characterizing the occurrence or not of such small black hole explosions, both from a 4d perspective, and in the 2d theory after an S 2 truncation.The latter setup allows a unified discussion of fluxes, domain walls and black holes, solving an apparent puzzle in the expression of their potentials in the 4d N = 2 gauged supergravity context.We discuss the realization of these ideas in 4d N = 2 gauged supergravities. Along the way we show that many regular black hole supergravity solutions in the literature in the latter context are incomplete, due to Freed-Witten anomalies (or duals thereof), and require the emission of strings by the black hole.From the 2d perspective, small black hole solutions correspond to dynamical cobordisms, with the core describing an end of the world brane. Small black hole explosions represent obstructions to completing the dynamical cobordism. We study the implications for the Cobordism Distance Conjecture, which states that in any theory there should exist dynamical cobordisms accessing all possible infinite distance limits in scalar field space. The realization of this principle using small black holes leads to non-trivial constraints on the 4d scalar potential of any consistent theory; in the 4d N = 2 context, they allow to recover from a purely bottom-up perspective, several non-trivial properties of vector moduli spaces near infinity familiar from CY 3 compactifications.

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Section: Recovering the Cy Vector Moduli Space Asymptoticsmentioning

confidence: 96%

“…Note: As this work was being completed, we noticed [43] which also explores the use of small black holes to constrain the properties of 4d theories near infinite distance limits. It would be interesting to explore the interplay of both approaches to these systems.…”

mentioning

confidence: 99%

Small Black Hole Explosions

Angius¹,

Huertas²,

Uranga³

2023

Preprint

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“…[5][6][7][8][9] and was revisited recently, among others, in ref. [10][11][12][13][14][15] Many EFTs obtained from string theory (on a d = 4 Minkowski spacetime) have a moduli space, i.e., a space of massless scalar fields 𝜑 i governed by a metric g ij . In that context, one quantum gravity effect has been introduced under the name of swampland distance conjecture: [16][17][18] when going to the asymptotics of the moduli space, a tower of massive states goes down exponentially to zero in mass.…”

Section: Introductionmentioning

confidence: 99%

“…Moreover, one deduces that Λ s → 0, typically exponentially, in the asymptotics; it has even been argued to start at a maximum at the "desert point", in the middle or bulk of the moduli space, and from there go down to zero. [11,13,15] Last but not least, when studying this evolution, one is led to consider the variation rate |∇Λ s |∕Λ s , where (∇Λ) 2 ≡ g ij 𝜕 𝜑 i Λ 𝜕 𝜑 j Λ. It has been argued in ref.…”

Section: Introductionmentioning

confidence: 99%

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Bumping into the Species Scale with the Scalar Potential

Andriot

2023

Fortschritte der Physik

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As a quantum gravity cut‐off, the species scale gets naturally compared to the energy scale of a scalar potential V in an EFT. In this note, the species scale, its rate and their field dependence, to those of a scalar potential is compared. To that end, a string compactification leading to a scalar potential with the same properties as the species scale, namely, being positive, starting at a maximum in the bulk of field space and going asymptotically to zero is first identified. The trajectory followed in our 14‐fields scalar potential is the steepest descent. Evaluating the rate along this path, a local maximum, or bump, a feature noticed as well for the species scale are observed. The origin of this bump for the scalar potential, and compare it to that of the species scale are investigated.

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A Note on Modular Invariant Species Scale and Potentials

Cribiori

Lüst

2023

Fortschritte der Physik

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The species scale provides an upper bound for the ultraviolet cutoff of effective theories of gravity coupled to a number of light particle species. Modular invariant (super‐)potentials provide a simple and computable expression of the species scale as a function of the moduli in toroidal orbifold compactifications of type II and heterotic string are pointed out. Due t o modular symmetry, these functions are valid over all moduli space and not only in asymptotic regions. Additive logarithmic corrections to the species scale arise from the requirement that the latter be modular invariant are observed. The moduli‐dependent expression of the species scale in terms of the gravitino mass or the scalar potential of these models are recasted and swampland conjectures such as the anti‐de Sitter distance conjecture and the gravitino conjecture are connected.

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Asymptotic String Compactifications

Cited by 9 publications

References 141 publications

Small Black Hole Explosions

Small Black Hole Explosions

Bumping into the Species Scale with the Scalar Potential

A Note on Modular Invariant Species Scale and Potentials

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